Find two positive numbers whose sum is 676 and the

Chaya Galloway 2021-08-14 Answered
Find two positive numbers whose sum is 676 and the sum of whose squares is a minimum.
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SoosteethicU
Answered 2021-08-15 Author has 102 answers
Let the two numbers be x and y. Sum is 676 x+y=676 Solve for y y=676-x Now, sum of squares =x2+y2=x2+(676x)2=x2+456976+x21352x2x21352x+456976where a=2x2,b=1352x,c=456976 Minimum occurs at vertex So, x=b2ax=13522(2)x=13524x=338y=676xy=676338y=338 So, (338, 338) is Answer
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